名校
解题方法
1 . 设
,
两点的坐标分别为
,
.直线
,
相交于点
,且它们的斜率之积是
,记动点
的轨迹为
.
(1)求
的方程;
(2)设以
为中点的弦所在直线为
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae2ed63ddcc7c1327698a57d5b2f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ad6fa1561db359b477f4038feea9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fafc00b0c4c36558aae07adfd485461f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2021-12-10更新
|
747次组卷
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5卷引用:广东省佛山市南海区九江中学2021-2022学年高二上学期第二次大测(月考)数学试题
名校
解题方法
2 . 焦点在x轴上的椭圆
的离心率为
,则实数k的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85fd4b213cfb4291fed3abd3ffa95cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
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2021-12-09更新
|
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4卷引用:广东省佛山市南海区大沥高级中学2021-2022学年高二上学期阶段检测二(月考)数学试题
广东省佛山市南海区大沥高级中学2021-2022学年高二上学期阶段检测二(月考)数学试题山东省枣庄市枣庄市第八中学2021-2022学年高二上学期12月月考数学试题河北省张家口市第一中学2021-2022学年高二上学期12月月考数学试题(已下线)第03练 椭圆-2022年【寒假分层作业】高二数学(苏教版2019选择性必修第一册)
名校
3 . 如图,在直三棱柱
中,
,
,
,
,
是
的中点.
![](https://img.xkw.com/dksih/QBM/2021/12/7/2867497524240384/2868027660722176/STEM/26ed7db1-1cc3-4a67-a153-1365a6a0ff0f.png?resizew=150)
(1)求证:
;
(2)求平面BAM与平面AMC所成的角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab926d89b65f26c12e3da73ef1e5cf68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/678cf77ef2451c5ac31f58904d55a268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/2021/12/7/2867497524240384/2868027660722176/STEM/26ed7db1-1cc3-4a67-a153-1365a6a0ff0f.png?resizew=150)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1a878c1222ccf2d1ee808df1a333bb.png)
(2)求平面BAM与平面AMC所成的角的大小.
您最近一年使用:0次
4 . 如图,四棱柱
的底面
为矩形,
,M为
中点,平面
平面
,且
.
![](https://img.xkw.com/dksih/QBM/2021/12/5/2866007604772864/2867449097347072/STEM/7c0eb192-5a95-4975-b1ec-d4db9c7df9f0.png?resizew=249)
(1)证明:
.
(2)若此四棱柱的体积为2,求二面角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b929269c53a44907dba8ee298a0a522.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41884a12fb840aff6012fe78e5ac2fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60e22c6b010410967789641c522fc1a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c3232a80d0d71fe3f3f0af470b1aa1a.png)
![](https://img.xkw.com/dksih/QBM/2021/12/5/2866007604772864/2867449097347072/STEM/7c0eb192-5a95-4975-b1ec-d4db9c7df9f0.png?resizew=249)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/796b217753ddf3e7616b534b624fea27.png)
(2)若此四棱柱的体积为2,求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff420795b334c9934c366b99507d0026.png)
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2021-12-07更新
|
291次组卷
|
3卷引用:广东省佛山市南海区里水高级中学2021-2022学年高二上学期第二次教学质量检测数学试题
名校
解题方法
5 . 1.如图,在底面为直角梯形的四棱锥
中,
,
,
平面
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/0cd4d610-74ae-469f-8cd8-bdef6855f467.png?resizew=268)
(1)求证:
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab2c27eac56fffa4cd7dbe1dcdf1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/0cd4d610-74ae-469f-8cd8-bdef6855f467.png?resizew=268)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65bf87f74420270138ed73a2d38ca48.png)
您最近一年使用:0次
2021-12-04更新
|
325次组卷
|
3卷引用:广东省佛山市南海区南海执信中学2021-2022学年高二上学期第二次段测数学试题
名校
解题方法
6 . 如图,在长方体
中,
,若点P为棱
上一点,且
,Q,R分别为棱
上的点,且
.
![](https://img.xkw.com/dksih/QBM/2021/11/19/2854846339366912/2865416837316608/STEM/1c94c381-8dfe-4275-903c-45e7b50b4c45.png?resizew=234)
(1)求直线
与平面
所成角
的正弦值;
(2)求平面
与平面
的夹角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e93b4e75a3f186477eaa139d0eb86d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/982635c07eaa7715b1ffd9dbabc3bcaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a3c176cd586a25166fac58af2e43ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0df7ba4fead9067ec4ebe541fd6ffc0.png)
![](https://img.xkw.com/dksih/QBM/2021/11/19/2854846339366912/2865416837316608/STEM/1c94c381-8dfe-4275-903c-45e7b50b4c45.png?resizew=234)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d41164f8a9f6fe32a9364f18f168dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe83b392409d07cb9664fd6c1d07ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe83b392409d07cb9664fd6c1d07ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2bf9ef324f1289e205e29fed105c38e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
2021-12-04更新
|
244次组卷
|
4卷引用:广东省佛山市南海区石门中学2021-2022学年高二上学期第二次大测(月考)数学试题
名校
解题方法
7 . 已知椭圆
(
)的左、右焦点分别为
,
,
为椭圆上一点,且满足
(
为坐标原点).若
,则椭圆的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d420082606bc88090fba9ac4955f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de1d9b83bdb136f4c1427771125803d.png)
您最近一年使用:0次
2021-12-04更新
|
655次组卷
|
3卷引用:广东省佛山市南海区石门中学2021-2022学年高二上学期第二次大测(月考)数学试题
名校
8 . 在平行六面体
中,M为AC与BD的交点,若
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5f9be01066599267291ac0789ed388.png)
___________________ .(用
,
,
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d774fce35cb0286450f61c6c3cbf800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43e2fa1a9fb5a87e33dafcf43d48daae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5469b836b99e4ccc2ca519bbf5fcf76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5f9be01066599267291ac0789ed388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
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2021-12-04更新
|
386次组卷
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4卷引用:广东省佛山市南海区石门中学2021-2022学年高二上学期第二次大测(月考)数学试题
名校
解题方法
9 . 已知椭圆C:
=1(a>b>0)的焦点F在直线
上,离心率为
.
(1)求椭圆C的方程;
(2)若O为坐标原点,过点M(0,2)作直线l交椭圆C于A、B两点,求△AOB面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/199f454cb22c34dfa82798ebd6c9054c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0985b973395bcd371cd1e26d3fcd1c36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(1)求椭圆C的方程;
(2)若O为坐标原点,过点M(0,2)作直线l交椭圆C于A、B两点,求△AOB面积的最大值.
您最近一年使用:0次
2021-12-04更新
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1260次组卷
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5卷引用:广东省佛山市南海区石门中学2021-2022学年高二上学期第二次大测(月考)数学试题
广东省佛山市南海区石门中学2021-2022学年高二上学期第二次大测(月考)数学试题河南省濮阳市范县第一中学2021-2022学年高二上学期第三次月考检测数学试题贵州省黔西南州赛文高级中学2021-2022学年高二上学期第三次月考数学(理)试题(已下线)专题9-3 圆锥曲线压轴大题五个方程框架十种题型-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)北京市朝阳区北京拔萃双语学校2022-2023学年高二下学期期中测试数学试题
名校
解题方法
10 . 已知椭圆
上一点A关于原点的对称点为点B,F为其右焦点,若
,设
,且
,则该椭圆的离心率e的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c507610f462120218e2cd1894c957eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01dd3ddb7bbf69309d4647c3cdbfb8b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7a40fa873dea96b91ed9b598391ed6.png)
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2021-11-28更新
|
1123次组卷
|
6卷引用:广东省佛山市南海区九江中学2021-2022学年高二上学期第二次大测(月考)数学试题